Multiple Linear Regression - Estimated Regression Equation |
PersonalStandards[t] = + 22.4503451046685 -1.49932963098338month[t] + 0.330887218059848ConcernoverMistakes[t] -0.356681047835005Doubtsaboutactions[t] + 0.198030325271138ParentalExpectations[t] + 0.00613248856872935ParentalCriticism[t] + 0.393045515742641`Organization `[t] + e[t] |
Multiple Linear Regression - Ordinary Least Squares | |||||
Variable | Parameter | S.D. | T-STAT H0: parameter = 0 | 2-tail p-value | 1-tail p-value |
(Intercept) | 22.4503451046685 | 14.596982 | 1.538 | 0.126125 | 0.063062 |
month | -1.49932963098338 | 1.442617 | -1.0393 | 0.30031 | 0.150155 |
ConcernoverMistakes | 0.330887218059848 | 0.055592 | 5.9521 | 0 | 0 |
Doubtsaboutactions | -0.356681047835005 | 0.107249 | -3.3257 | 0.001106 | 0.000553 |
ParentalExpectations | 0.198030325271138 | 0.101714 | 1.9469 | 0.053385 | 0.026693 |
ParentalCriticism | 0.00613248856872935 | 0.129654 | 0.0473 | 0.962337 | 0.481169 |
`Organization ` | 0.393045515742641 | 0.072189 | 5.4447 | 0 | 0 |
Multiple Linear Regression - Regression Statistics | |
Multiple R | 0.60953344822544 |
R-squared | 0.371531024505596 |
Adjusted R-squared | 0.346723038630816 |
F-TEST (value) | 14.9762671738422 |
F-TEST (DF numerator) | 6 |
F-TEST (DF denominator) | 152 |
p-value | 2.02393657389166e-13 |
Multiple Linear Regression - Residual Statistics | |
Residual Standard Deviation | 3.40838004054157 |
Sum Squared Residuals | 1765.79228411584 |
Multiple Linear Regression - Actuals, Interpolation, and Residuals | |||
Time or Index | Actuals | Interpolation Forecast | Residuals Prediction Error |
1 | 24 | 24.37524383968 | -0.375243839679987 |
2 | 25 | 23.7803863986577 | 1.21961360134230 |
3 | 30 | 25.6830881775506 | 4.31691182244938 |
4 | 19 | 21.7015858002172 | -2.70158580021719 |
5 | 22 | 21.9583210676976 | 0.0416789323023574 |
6 | 22 | 24.5013747161969 | -2.50137471619689 |
7 | 25 | 22.536984103505 | 2.46301589649499 |
8 | 23 | 19.3274995404412 | 3.67250045955884 |
9 | 17 | 18.7724146241247 | -1.77241462412469 |
10 | 21 | 21.6020995177389 | -0.602099517738928 |
11 | 19 | 22.7097079828002 | -3.70970798280015 |
12 | 19 | 23.4081221360031 | -4.40812213600306 |
13 | 15 | 23.100666237539 | -8.10066623753901 |
14 | 16 | 17.0578920432927 | -1.05789204329267 |
15 | 23 | 19.3712603724178 | 3.62873962758224 |
16 | 27 | 24.0012304943487 | 2.99876950565127 |
17 | 22 | 20.8939265829880 | 1.10607341701197 |
18 | 14 | 16.5108483584964 | -2.51084835849636 |
19 | 22 | 24.0638801007654 | -2.06388010076539 |
20 | 23 | 24.0159011037181 | -1.01590110371805 |
21 | 23 | 21.528269770622 | 1.47173022937799 |
22 | 21 | 24.4932309874987 | -3.49323098749872 |
23 | 19 | 22.3016536793613 | -3.30165367936128 |
24 | 18 | 23.7904279083418 | -5.79042790834182 |
25 | 20 | 23.053082339113 | -3.053082339113 |
26 | 23 | 22.3565355551212 | 0.643464444878814 |
27 | 25 | 23.3050059138194 | 1.69499408618061 |
28 | 19 | 23.2582299470431 | -4.25822994704315 |
29 | 24 | 23.7901626251738 | 0.209837374826234 |
30 | 22 | 21.5232380933549 | 0.476761906645076 |
31 | 25 | 25.0489193653102 | -0.0489193653101547 |
32 | 26 | 23.1180905307743 | 2.8819094692257 |
33 | 29 | 22.8066525192973 | 6.1933474807027 |
34 | 32 | 25.1212100804516 | 6.87878991954841 |
35 | 25 | 21.5476658286604 | 3.45233417133962 |
36 | 29 | 24.376794275551 | 4.62320572444901 |
37 | 28 | 24.9189046698153 | 3.08109533018471 |
38 | 17 | 17.105713556688 | -0.105713556687991 |
39 | 28 | 26.0504042627731 | 1.94959573722694 |
40 | 29 | 22.9083948576263 | 6.09160514237371 |
41 | 26 | 27.4764796617272 | -1.47647966172718 |
42 | 25 | 23.3941019746315 | 1.60589802536851 |
43 | 14 | 19.5474967968037 | -5.54749679680365 |
44 | 25 | 22.1111965805996 | 2.88880341940039 |
45 | 26 | 21.5773927010235 | 4.42260729897649 |
46 | 20 | 20.1937158718107 | -0.193715871810681 |
47 | 18 | 21.3481003036481 | -3.34810030364814 |
48 | 32 | 24.6349525577956 | 7.36504744220444 |
49 | 25 | 24.9514383141044 | 0.0485616858955814 |
50 | 25 | 21.737318920707 | 3.26268107929301 |
51 | 23 | 20.8009936574846 | 2.19900634251539 |
52 | 21 | 22.0614054790237 | -1.06140547902374 |
53 | 20 | 23.938680930279 | -3.93868093027899 |
54 | 15 | 16.4581620642669 | -1.45816206426694 |
55 | 30 | 26.6047304105651 | 3.39526958943494 |
56 | 24 | 25.2470066108757 | -1.24700661087571 |
57 | 26 | 24.2074098506560 | 1.79259014934395 |
58 | 24 | 21.6849039507184 | 2.31509604928158 |
59 | 22 | 21.3469447486746 | 0.653055251325386 |
60 | 14 | 15.6514365191043 | -1.65143651910432 |
61 | 24 | 22.1296962652753 | 1.87030373472474 |
62 | 24 | 22.8831514335020 | 1.11684856649805 |
63 | 24 | 23.2843597785227 | 0.715640221477318 |
64 | 24 | 19.8486924751679 | 4.15130752483210 |
65 | 19 | 18.4481533799900 | 0.551846620010022 |
66 | 31 | 26.7335874349483 | 4.2664125650517 |
67 | 22 | 26.5215900363656 | -4.52159003636563 |
68 | 27 | 21.4111864751268 | 5.5888135248732 |
69 | 19 | 17.641416213208 | 1.35858378679201 |
70 | 25 | 22.2048330099449 | 2.79516699005507 |
71 | 20 | 24.9347351874032 | -4.93473518740321 |
72 | 21 | 21.3990237169588 | -0.3990237169588 |
73 | 27 | 27.4183665916093 | -0.418366591609338 |
74 | 23 | 24.3746124922624 | -1.37461249226241 |
75 | 25 | 25.6833747379211 | -0.683374737921115 |
76 | 20 | 22.1800239742600 | -2.18002397426005 |
77 | 21 | 19.2023750134258 | 1.79762498657421 |
78 | 22 | 22.3862171288093 | -0.386217128809271 |
79 | 23 | 22.8914164817495 | 0.108583518250498 |
80 | 25 | 24.0565898806006 | 0.943410119399396 |
81 | 25 | 23.3218681797845 | 1.67813182021553 |
82 | 17 | 23.7195093287429 | -6.71950932874289 |
83 | 19 | 21.3959632834841 | -2.39596328348412 |
84 | 25 | 23.8842472412004 | 1.11575275879955 |
85 | 19 | 22.3010541105851 | -3.30105411058514 |
86 | 20 | 23.1266938500491 | -3.12669385004909 |
87 | 26 | 22.4809582943909 | 3.51904170560905 |
88 | 23 | 20.6564751885690 | 2.34352481143104 |
89 | 27 | 24.3430597171288 | 2.65694028287115 |
90 | 17 | 20.8503426134519 | -3.85034261345193 |
91 | 17 | 23.3211586348698 | -6.32115863486977 |
92 | 19 | 20.0366456476630 | -1.03664564766296 |
93 | 17 | 19.6807349899718 | -2.68073498997179 |
94 | 22 | 22.0379172391335 | -0.0379172391335114 |
95 | 21 | 23.3856638961778 | -2.38566389617783 |
96 | 32 | 28.5991521791672 | 3.40084782083280 |
97 | 21 | 24.6614106338104 | -3.66141063381038 |
98 | 21 | 24.3080160450159 | -3.30801604501587 |
99 | 18 | 21.2070236612869 | -3.20702366128693 |
100 | 18 | 21.2610760499861 | -3.26107604998605 |
101 | 23 | 22.7863799272109 | 0.213620072789081 |
102 | 19 | 20.5907043961488 | -1.59070439614882 |
103 | 20 | 20.9772930432377 | -0.977293043237723 |
104 | 21 | 22.2383514483243 | -1.23835144832433 |
105 | 20 | 23.7118985607275 | -3.71189856072748 |
106 | 17 | 18.8403733336065 | -1.84037333360655 |
107 | 18 | 20.2572364317288 | -2.25723643172879 |
108 | 19 | 20.7196144481076 | -1.71961444810765 |
109 | 22 | 22.0275626605593 | -0.0275626605593270 |
110 | 15 | 18.7557114974235 | -3.75571149742348 |
111 | 14 | 18.7922903692776 | -4.79229036927756 |
112 | 18 | 26.5436099628167 | -8.54360996281669 |
113 | 24 | 21.2628726079605 | 2.73712739203951 |
114 | 35 | 23.5462389082472 | 11.4537610917528 |
115 | 29 | 18.9866943088691 | 10.0133056911309 |
116 | 21 | 21.935944950304 | -0.935944950303993 |
117 | 25 | 20.5220323095179 | 4.47796769048213 |
118 | 20 | 18.4455726336298 | 1.5544273663702 |
119 | 22 | 23.1944342306498 | -1.19443423064979 |
120 | 13 | 16.8696658909449 | -3.8696658909449 |
121 | 26 | 23.1870301698962 | 2.81296983010383 |
122 | 17 | 16.8739978966045 | 0.126002103395526 |
123 | 25 | 20.0507796496234 | 4.94922035037664 |
124 | 20 | 20.6180234596576 | -0.618023459657552 |
125 | 19 | 18.0635928969879 | 0.936407103012104 |
126 | 21 | 22.6069239300865 | -1.60692393008647 |
127 | 22 | 21.004834267862 | 0.995165732137998 |
128 | 24 | 22.5978785256876 | 1.40212147431243 |
129 | 21 | 22.893008601785 | -1.89300860178502 |
130 | 26 | 25.4363237012179 | 0.563676298782062 |
131 | 24 | 20.5297469521146 | 3.4702530478854 |
132 | 16 | 20.2204944956761 | -4.22049449567611 |
133 | 23 | 22.3001815014718 | 0.699818498528157 |
134 | 18 | 20.7446456449081 | -2.74464564490807 |
135 | 16 | 22.3043405696256 | -6.30434056962563 |
136 | 26 | 24.0921955799838 | 1.90780442001622 |
137 | 19 | 19.0502342475757 | -0.0502342475756936 |
138 | 21 | 16.8720244761895 | 4.12797552381047 |
139 | 21 | 22.0933317973676 | -1.09333179736762 |
140 | 22 | 18.451482961083 | 3.54851703891702 |
141 | 23 | 19.7302332118958 | 3.26976678810421 |
142 | 29 | 24.7822738737025 | 4.21772612629751 |
143 | 21 | 19.2106400938892 | 1.78935990611077 |
144 | 21 | 19.9054317541314 | 1.09456824586862 |
145 | 23 | 21.8498010024399 | 1.15019899756014 |
146 | 27 | 22.9941022404284 | 4.00589775957157 |
147 | 25 | 25.3939958500130 | -0.393995850012971 |
148 | 21 | 20.946835038333 | 0.0531649616670011 |
149 | 10 | 17.0822628583037 | -7.08226285830371 |
150 | 20 | 22.5777789638073 | -2.5777789638073 |
151 | 26 | 22.4585531426257 | 3.54144685737425 |
152 | 24 | 23.6656316258617 | 0.334368374138264 |
153 | 29 | 31.7071557621354 | -2.70715576213540 |
154 | 19 | 19.0522038357562 | -0.0522038357562483 |
155 | 24 | 22.0525408015156 | 1.94745919848439 |
156 | 19 | 20.7371470618696 | -1.73714706186964 |
157 | 24 | 23.3888420951761 | 0.611157904823943 |
158 | 22 | 21.7784950813887 | 0.221504918611301 |
159 | 17 | 23.7292621014340 | -6.72926210143396 |
Goldfeld-Quandt test for Heteroskedasticity | |||
p-values | Alternative Hypothesis | ||
breakpoint index | greater | 2-sided | less |
10 | 0.167714889966933 | 0.335429779933865 | 0.832285110033067 |
11 | 0.476210991442604 | 0.952421982885208 | 0.523789008557396 |
12 | 0.405776124415941 | 0.811552248831883 | 0.594223875584059 |
13 | 0.830643149947592 | 0.338713700104815 | 0.169356850052408 |
14 | 0.753480229424357 | 0.493039541151287 | 0.246519770575643 |
15 | 0.7354879303151 | 0.529024139369801 | 0.264512069684901 |
16 | 0.653774398960162 | 0.692451202079675 | 0.346225601039838 |
17 | 0.593366635761728 | 0.813266728476544 | 0.406633364238272 |
18 | 0.576949200610541 | 0.846101598778918 | 0.423050799389459 |
19 | 0.500266958164621 | 0.999466083670757 | 0.499733041835379 |
20 | 0.496535965699451 | 0.993071931398902 | 0.503464034300549 |
21 | 0.492737994079345 | 0.98547598815869 | 0.507262005920655 |
22 | 0.422900668072017 | 0.845801336144034 | 0.577099331927983 |
23 | 0.362242801923997 | 0.724485603847995 | 0.637757198076003 |
24 | 0.380403008269029 | 0.760806016538059 | 0.61959699173097 |
25 | 0.349260129619774 | 0.698520259239547 | 0.650739870380226 |
26 | 0.288300058994306 | 0.576600117988611 | 0.711699941005694 |
27 | 0.247644327088461 | 0.495288654176923 | 0.752355672911539 |
28 | 0.239279245221542 | 0.478558490443084 | 0.760720754778458 |
29 | 0.197924209740586 | 0.395848419481172 | 0.802075790259414 |
30 | 0.154172407490281 | 0.308344814980563 | 0.845827592509719 |
31 | 0.126005235524187 | 0.252010471048374 | 0.873994764475813 |
32 | 0.161026065024854 | 0.322052130049708 | 0.838973934975146 |
33 | 0.269830637476094 | 0.539661274952187 | 0.730169362523906 |
34 | 0.548348511466785 | 0.903302977066431 | 0.451651488533216 |
35 | 0.527129136516387 | 0.945741726967226 | 0.472870863483613 |
36 | 0.6042615937632 | 0.7914768124736 | 0.3957384062368 |
37 | 0.599699991500923 | 0.800600016998154 | 0.400300008499077 |
38 | 0.552943250244732 | 0.894113499510536 | 0.447056749755268 |
39 | 0.520711430201337 | 0.958577139597325 | 0.479288569798663 |
40 | 0.61443759464056 | 0.771124810718879 | 0.385562405359439 |
41 | 0.579743712412594 | 0.840512575174812 | 0.420256287587406 |
42 | 0.53628142495944 | 0.92743715008112 | 0.46371857504056 |
43 | 0.624380021332456 | 0.751239957335087 | 0.375619978667544 |
44 | 0.595123184173712 | 0.809753631652576 | 0.404876815826288 |
45 | 0.630094268326734 | 0.739811463346532 | 0.369905731673266 |
46 | 0.578866952807933 | 0.842266094384134 | 0.421133047192067 |
47 | 0.565302863105698 | 0.869394273788605 | 0.434697136894302 |
48 | 0.680914670410683 | 0.638170659178634 | 0.319085329589317 |
49 | 0.63746549008639 | 0.72506901982722 | 0.36253450991361 |
50 | 0.623632942998632 | 0.752734114002735 | 0.376367057001367 |
51 | 0.583966517586341 | 0.832066964827318 | 0.416033482413659 |
52 | 0.539257650179664 | 0.921484699640673 | 0.460742349820336 |
53 | 0.564890851254894 | 0.870218297490213 | 0.435109148745106 |
54 | 0.52700227886588 | 0.945995442268241 | 0.472997721134121 |
55 | 0.59021603073109 | 0.81956793853782 | 0.40978396926891 |
56 | 0.552954559757482 | 0.894090880485037 | 0.447045440242518 |
57 | 0.514684615603537 | 0.970630768792927 | 0.485315384396463 |
58 | 0.483846996379702 | 0.967693992759404 | 0.516153003620298 |
59 | 0.436800024657378 | 0.873600049314755 | 0.563199975342622 |
60 | 0.395523010634588 | 0.791046021269176 | 0.604476989365412 |
61 | 0.366785627756045 | 0.73357125551209 | 0.633214372243955 |
62 | 0.327325950492418 | 0.654651900984836 | 0.672674049507582 |
63 | 0.287269697402832 | 0.574539394805664 | 0.712730302597168 |
64 | 0.327904537198601 | 0.655809074397202 | 0.672095462801399 |
65 | 0.287124497834104 | 0.574248995668209 | 0.712875502165896 |
66 | 0.301395022534726 | 0.602790045069451 | 0.698604977465274 |
67 | 0.358424453674014 | 0.716848907348028 | 0.641575546325986 |
68 | 0.437598741919298 | 0.875197483838595 | 0.562401258080702 |
69 | 0.400053505849953 | 0.800107011699906 | 0.599946494150047 |
70 | 0.385556170704761 | 0.771112341409521 | 0.614443829295239 |
71 | 0.44979259131525 | 0.8995851826305 | 0.55020740868475 |
72 | 0.403910549032159 | 0.807821098064318 | 0.596089450967841 |
73 | 0.362437469142519 | 0.724874938285038 | 0.63756253085748 |
74 | 0.327384315881735 | 0.65476863176347 | 0.672615684118265 |
75 | 0.295795624677827 | 0.591591249355654 | 0.704204375322173 |
76 | 0.271636437346599 | 0.543272874693199 | 0.7283635626534 |
77 | 0.249547904307031 | 0.499095808614063 | 0.750452095692969 |
78 | 0.214465001125081 | 0.428930002250162 | 0.785534998874919 |
79 | 0.182827529312924 | 0.365655058625848 | 0.817172470687076 |
80 | 0.157191698452156 | 0.314383396904312 | 0.842808301547844 |
81 | 0.137699547974615 | 0.275399095949230 | 0.862300452025385 |
82 | 0.221313054921496 | 0.442626109842992 | 0.778686945078504 |
83 | 0.203279956975708 | 0.406559913951417 | 0.796720043024292 |
84 | 0.176281758004978 | 0.352563516009956 | 0.823718241995022 |
85 | 0.176867198607590 | 0.353734397215181 | 0.82313280139241 |
86 | 0.172691264466091 | 0.345382528932181 | 0.82730873553391 |
87 | 0.179798783239274 | 0.359597566478548 | 0.820201216760726 |
88 | 0.168630293967603 | 0.337260587935206 | 0.831369706032397 |
89 | 0.158619798245149 | 0.317239596490298 | 0.841380201754851 |
90 | 0.162288626205746 | 0.324577252411491 | 0.837711373794254 |
91 | 0.234836173026185 | 0.46967234605237 | 0.765163826973815 |
92 | 0.20139934095589 | 0.40279868191178 | 0.79860065904411 |
93 | 0.184757199150369 | 0.369514398300738 | 0.815242800849631 |
94 | 0.155997893454410 | 0.311995786908821 | 0.84400210654559 |
95 | 0.140973320796948 | 0.281946641593895 | 0.859026679203052 |
96 | 0.144329651570415 | 0.288659303140831 | 0.855670348429585 |
97 | 0.145774159414261 | 0.291548318828523 | 0.854225840585739 |
98 | 0.141811927130382 | 0.283623854260764 | 0.858188072869618 |
99 | 0.134598310814225 | 0.269196621628450 | 0.865401689185775 |
100 | 0.129416485832775 | 0.258832971665550 | 0.870583514167225 |
101 | 0.105746053067436 | 0.211492106134872 | 0.894253946932564 |
102 | 0.0875952675229617 | 0.175190535045923 | 0.912404732477038 |
103 | 0.0701683379098852 | 0.140336675819770 | 0.929831662090115 |
104 | 0.056440974889137 | 0.112881949778274 | 0.943559025110863 |
105 | 0.0596509851692635 | 0.119301970338527 | 0.940349014830737 |
106 | 0.0487286338811894 | 0.0974572677623789 | 0.95127136611881 |
107 | 0.0425851102931952 | 0.0851702205863904 | 0.957414889706805 |
108 | 0.0369451247293547 | 0.0738902494587094 | 0.963054875270645 |
109 | 0.028094480523947 | 0.056188961047894 | 0.971905519476053 |
110 | 0.0276120326923326 | 0.0552240653846652 | 0.972387967307667 |
111 | 0.0347623099698411 | 0.0695246199396821 | 0.96523769003016 |
112 | 0.148031913163637 | 0.296063826327273 | 0.851968086836363 |
113 | 0.136114951998963 | 0.272229903997926 | 0.863885048001037 |
114 | 0.549103563368251 | 0.901792873263499 | 0.450896436631749 |
115 | 0.850962456133838 | 0.298075087732324 | 0.149037543866162 |
116 | 0.817546776560484 | 0.364906446879033 | 0.182453223439516 |
117 | 0.872513350277217 | 0.254973299445567 | 0.127486649722783 |
118 | 0.847454888396848 | 0.305090223206305 | 0.152545111603152 |
119 | 0.818754231632925 | 0.362491536734151 | 0.181245768367075 |
120 | 0.852182839569344 | 0.295634320861312 | 0.147817160430656 |
121 | 0.828843023539678 | 0.342313952920645 | 0.171156976460322 |
122 | 0.788417255940558 | 0.423165488118883 | 0.211582744059441 |
123 | 0.819781614122325 | 0.360436771755349 | 0.180218385877675 |
124 | 0.777004047153697 | 0.445991905692606 | 0.222995952846303 |
125 | 0.737437204360765 | 0.52512559127847 | 0.262562795639235 |
126 | 0.6885490789282 | 0.6229018421436 | 0.3114509210718 |
127 | 0.651568356838167 | 0.696863286323666 | 0.348431643161833 |
128 | 0.609273687051868 | 0.781452625896265 | 0.390726312948132 |
129 | 0.550292312697758 | 0.899415374604485 | 0.449707687302242 |
130 | 0.487014672794253 | 0.974029345588506 | 0.512985327205747 |
131 | 0.484712723736008 | 0.969425447472016 | 0.515287276263992 |
132 | 0.482597109188469 | 0.965194218376939 | 0.517402890811531 |
133 | 0.432056864620903 | 0.864113729241807 | 0.567943135379097 |
134 | 0.383808125714437 | 0.767616251428874 | 0.616191874285563 |
135 | 0.531448566370668 | 0.937102867258665 | 0.468551433629332 |
136 | 0.492168817469643 | 0.984337634939285 | 0.507831182530357 |
137 | 0.418692563784427 | 0.837385127568853 | 0.581307436215573 |
138 | 0.428167527188235 | 0.85633505437647 | 0.571832472811765 |
139 | 0.356583342636536 | 0.713166685273072 | 0.643416657363464 |
140 | 0.320359437679118 | 0.640718875358235 | 0.679640562320883 |
141 | 0.285913182586271 | 0.571826365172541 | 0.71408681741373 |
142 | 0.336504411054373 | 0.673008822108745 | 0.663495588945627 |
143 | 0.478094113575687 | 0.956188227151374 | 0.521905886424313 |
144 | 0.400992750579691 | 0.801985501159381 | 0.599007249420309 |
145 | 0.319884142938733 | 0.639768285877466 | 0.680115857061267 |
146 | 0.3079444732906 | 0.6158889465812 | 0.6920555267094 |
147 | 0.254742419681059 | 0.509484839362119 | 0.74525758031894 |
148 | 0.159091561128108 | 0.318183122256215 | 0.840908438871892 |
149 | 0.304106957247093 | 0.608213914494187 | 0.695893042752907 |
Meta Analysis of Goldfeld-Quandt test for Heteroskedasticity | |||
Description | # significant tests | % significant tests | OK/NOK |
1% type I error level | 0 | 0 | OK |
5% type I error level | 0 | 0 | OK |
10% type I error level | 6 | 0.0428571428571429 | OK |